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ON THE ACCURACY AND RESOLUTION OF RADAR SIGNALS
MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB
Information matrices are derived for estimates of the range parameters of moving targets as obtained by combining apriori information if available with reflected radar signals observed in the presence of additive white Gaussian noise. The inverse of the information matrix provides a lower bound on the covariance matrix of any unbiased parameter estimates. This bound can be approached with a high signal to-noise ratio and optimum data processing matched filters. Arbitrary frequency modulation, amplitude modulation and target motion as well as various assumptions on processing the R-F phase are considered. The multiple target case enables investigation of a signals resolution ability as well as its accuracy potentials. Results for a carrier frequency much greater than the effective signal bandwidth are obtained as a special case. A main purpose of the report is the reduction of the original radar problem to a linear model which is equivalent in the sense of having the same information matrix. The various special cases of interest are obtained by simple modifications of the general case and thus the algorithm can provide a very versatile tool for evaluating and designing radar signals.
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